Аннотация
In this paper, we study the quasi-exactly solvable problems for two dimensional quantum systems. By using the Bethe ansatz method, we obtain the general form of the quasi-exactly solvable potential. Then, we present several examples to give the specific forms of quasi-exactly solvable potentials. In the examples, some physical models of quasi-exactly solvable problems are re-exhibited.
Поступила: 11 мая 2016
Статья подписана в печать: 25 ноября 2016
PACS:
03.65.-w Quantum mechanics
03.65.Ge Solutions of wave equations: bound states
03.65.Ge Solutions of wave equations: bound states
English citation: The quasi-exactly solvable problems for two dimensional quantum systems
Liyan Liu, Chong Hou, Liqian Wei
© 2016 Издательство Московского университета
Авторы
Liyan Liu$^1$, Chong Hou$^2$, Liqian Wei$^3$
$^1$College of Science, Civil Aviation University of China, Tianjin 300300, China\
$^2$State grid anping county electric power supply company, Hengshui anping county 053600, China\
$^3$College of Gemology and Material Technics, Shijiazhuang University of Economics, Shijiazhuang 050031, China
$^1$College of Science, Civil Aviation University of China, Tianjin 300300, China\
$^2$State grid anping county electric power supply company, Hengshui anping county 053600, China\
$^3$College of Gemology and Material Technics, Shijiazhuang University of Economics, Shijiazhuang 050031, China